Precalculus Examples

$x y = 1$

Step 1

Find the x-intercepts.

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Step 1.1

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$x (0) = 1$

Step 1.2

Solve the equation.

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Step 1.2.1

Multiply $x$ by $0$ .

$0 = 1$

Step 1.2.2

Since $0 \neq 1$ , there are no solutions.

No solution

Step 1.3

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

x-intercept(s): $None$

Step 2

Find the y-intercepts.

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Step 2.1

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$(0) \cdot y = 1$

Step 2.2

Solve the equation.

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Step 2.2.1

Multiply $0$ by $y$ .

$0 = 1$

Step 2.2.2

Since $0 \neq 1$ , there are no solutions.

No solution

Step 2.3

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

y-intercept(s): $None$

Step 3

List the intersections.

x-intercept(s): $None$

y-intercept(s): $None$

Step 4